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ipn [44]
3 years ago
9

Use the given conditional statement to determine the converse and inverse statements. If a line is vertical, then it has undefin

ed slope.
Mathematics
1 answer:
Georgia [21]3 years ago
8 0
1) Definitions:

1.1) Inverse statement: negating the hypothesis and the conclusion of the original statement, i.e.:

conditional statement: p → q

inverse: ~p → ~q (the symbol ~ means the negation)

1.2) Converse statement: switching the hypothesis and the conclusion of the conditional statement, i.e.:

conditional statement: p → q

converse: q → p

2)  converse of the given statement

conditional: <span>If a line is vertical, then it has undefined slope.

converse: switch the hypothesis and the conclusion

if a line has undefined slope, then it is vertical <------- answer

</span>3) Inverse of the given statement

conditional: if <span>a line is vertical, then it has undefined slope.

inverse: negate both hypothesis and conclusion.

 </span>if a line is not vertical, then it does not have an undefined slope <---answer

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